Please help! A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data:

Number of employees
(x)0255075100125150175200
Number of products
(y)1016031046061076091010601210

Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

A) Yes, for each increase of 25 employees there is an increase of 150 products.

B) y = 6x + 10

C) the slope indicates the increase that will occur in the y-value for each unitary increase in the x-value, and the y-intercept indicates the inicial value of y (when x = 0)

Step-by-step explanation:

A)

Yes, there is a linear correlation, because a linear increase in the number of employees causes a linear increase in the number of products. For each increase of 25 employees there is an increase of 150 products.

B)

We can use two pair of points to write a linear equation in the model:

y = ax + b

Using x = 0 and y = 10, we have:

10 = a * 0 + b -> b = 10

Using x = 25 and y = 160, we have:

160 = a * 25 + 10

25a = 150 -> a = 6

So the equation is:

y = 6x + 10

C)

the slope indicates the increase that will occur in the y-value (number of products) for each unitary increase in the x-value (number of employees), and the y-intercept indicates the inicial value of y (when x = 0, that is, no employees)

A) Yes,

B) y = 6x + 10

C) slope indicates the increase that will occur and the y-intercept indicates the inicial value of y

step-by-step explanation:

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step-by-step explanation: